Finite Group DatabasebetaFinite Group Databasebeta| order | 10784 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C4×C22⋊D337 |
| Fitting | C22×C4×C337 ⋊ C2 |
| Sylow | C337 ⋊ C4×D4 |
94 conjugacy classes of subgroups.
2708 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36341368, C8×C22⋊D337, #36341373, … |
| maximal normal subgroup of | #36341368, C8×C22⋊D337, #36341373, … |
| maximal quotient of | C4×C22⋊Dic337, C4×#19129162, C4×#19129164, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10784, 107);